Dissolving four-manifolds and positive scalar curvature
Geometric Topology
2007-05-23 v1 Differential Geometry
Symplectic Geometry
Abstract
We prove that many simply connected symplectic four-manifolds dissolve after connected sum with only one copy of . For any finite group G that acts freely on the three-sphere we construct closed smooth four-manifolds with fundamental group G which do not admit metrics of positive scalar curvature, but whose universal covers do admit such metrics.
Cite
@article{arxiv.math/0306096,
title = {Dissolving four-manifolds and positive scalar curvature},
author = {B. Hanke and D. Kotschick and J. Wehrheim},
journal= {arXiv preprint arXiv:math/0306096},
year = {2007}
}
Comments
13 pages; to appear in Mathematische Zeitschrift